Question

If alpha & beta are zeros of polynomial t^2-t-4 form a quadratic polynomial whose zeros are 1/alpha and 1/beta

Answer 1

Step-by-step explanation:

α+β=1

αβ= -4

new quadratic =t^2-(1/α+1/β)t+1/α(1/β)

=t^2-(α+β/αβ)t+1/αβ

=t^2+1/4t-1/4

=4t^2+t-1